Describe how to find the value of [tex]2^9[/tex] without multiplying nine 2's together.

Well, let's see.
When you need to multiply two numbers that are both powers of the same base, that's the same as just adding the exponents. So for this problem, you could use that idea backwards.
2^9 could be the product of (2^4) times (2^5) .
-- Multiply 2 together 4 times. (16)
-- Multiply 2 together 5 times. (32)
-- Then multiply those two numbers. (16 x 32 = 512)
-- 512 is 2^9 and you didn't have to multiply nine 2s together. (Maybe you saved yourself some effort, but you didn't save ME any.)

Answered by AL2006 | 2024-06-10

Multiply 4x4x4x4x2 which equals the same as 2 to the ninth power

Answered by Qrystal | 2024-06-10

You can find 2 9 by recognizing it as 2 4 × 2 5 , where 2 4 = 16 and 2 5 = 32 . Then, multiply 16 and 32 to get 512. Thus, 2 9 = 512 .
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Answered by AL2006 | 2024-10-30